Finding the Fourth Proportional to 3,789.64, 5,685.83 and 1,941.63

Step by Step Solution

1. Step 1: Write the proportion equation
   3,789.64 : 5,685.83 = 1,941.63 : x
2. Step 2: Convert to fraction form
   3,789.64/5,685.83 = 1,941.63/x
3. Step 3: Cross multiply
   3,789.64x = 5,685.83 × 1,941.63
4. Step 4: Simplify right side
   3,789.64x = 11,039,778.10
5. Step 5: Solve for x
   x = 11,039,778.10/3,789.64
6. Step 6: Final answer
   x = 2,913.15